Answer:
Which shapes cover more of the plane" means that we are comparing the areas covered by the different types of shapes. In these patterns, two triangles match up to one rhombus, and three triangles match up to one trapezoid.
In both Pattern A and Pattern B, the first hexagonal part is made up of 7 triangles, 4 rhombuses, and 3 trapezoids.
The first hexagonal part is repeated across the pattern, so whichever type of shape covers the most area of this first part also covers the most area in the whole pattern.
<em>hope it helps</em>
Answer:
D
Step-by-step explanation:
The highest power of X in D is 2; hence we see
6x^2 - 6x + 5
Answer:
first I would combine terms which would give me
-4x-7=-7-4x
then I would get the variable on each side of the equal sign
0=0
lastly I would verify the solution
infinite solutions
Step-by-step explanation:
combining combining like terms would give you negative 4x - 7 which is equal to -7 - 4x. if you were to add 7 on either side and 4 on either side you would get 0 = 0 because this is correct it's infinite solutions
Answer:
Step-by-step explanation:
Given
Required
The vertex
We have:
First, we express the equation as:
Where
So, we have:
--------------------------------------------
Take the coefficient of x: -1
Divide by 2: (-1/2)
Square: (-1/2)^2
Add and subtract this to the equation
--------------------------------------------
Expand
Factorize
Factor out x - 1/2
Compare to:
Hence:
